Fibonacci

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by vats13
Last updated 6 years ago

Discipline:
Math
Subject:
Patterns

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Fibonacci

Fibonacci

The Fibonacci SequenceIn this sequence, each number is found by adding the two numbers before it.n= 0 1 2 3 4 5 6 7 ..... Xn= 0 1 1 2 3 5 8 13......Terms below zeron = -4 -3 -2 -1 0 1 2 3 4Xn= -3 2 -1 1 0 1 1 2 3

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BackgroundReal name: Leonardo Pisano Bogollo,Born:1170 Died: 1250Nickname: FibonacciOccupation: He was an Italian Number Theorist(Mathemitician).Place of birth: Pisa, Italyson of Guilielmomember of the Bonacci family.

Early-Middle LifeFibonacci was taught mathematics in Bugia. When he went travelling with his father, Fibonacci was able to recognize the many advantages of mathematical number systems used in the countries he visited.Fibonacci’s travels ended around the year 1200, and at this time, he returned to Pisa. After he returned, he wrote a number of important texts, which have played an important role in reviving ancient mathematical skills.Fibonacci lived in the days before printing, so all his books were handwritten. The only way to have a copy of one of his books was to have another hand-written copy made. Today, we still have copies of ‘Liber abaci’(1202), Practica geometriae (1220), Flos (1225), and Liber quandratorum.

Nature Sequence

Question 1A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?

Question 2A spider climbs so many feet up a wall each day and slips back a fixed number each night, how many days does it take him to climb the wall?

Question 3Calculate the amount of money two people have after a certain amount changes hands and the proportional increase and decrease are given.

Nature SequenceThe Fibonacci Sequence rule also reflects nature such as: branching in trees, The arrangement of leaves on a stem, the fruit sprouts of a pineapple, the flowering artichoke, an uncurling fern, and the arrangement of a pine cone.

Maths Questions from Fibonacci's famous book: Liber abaci(published 1202).

Liber abaci was published in 1202

Liber abaci - 2nd section mathematicsLiber abaci, published in 1202 after Fibonacci's return to Italy, was dedicated to ScotusThe second section of Liber abaci contains a large collection of problems aimed at merchants. They relate to the price of goods, how to calculate profit on transactions, how to convert between the various currencies in use in Mediterranean countries, and problems which had originated in China.

Look here, to view some of the maths questions from the Liber abaci.

Later Life


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